77283803520 has 1728 divisors, whose sum is σ = 357061461120. Its totient is φ = 15328051200.

The previous prime is 77283803501. The next prime is 77283803561. The reversal of 77283803520 is 2530838277.

77283803520 is a `hidden beast` number, since 77 + 28 + 38 + 0 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1058682204 + ... + 1058682276.

It is an arithmetic number, because the mean of its divisors is an integer number (206632790).

Almost surely, 2^77283803520 is an apocalyptic number.

77283803520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77283803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178530730560).

77283803520 is an abundant number, since it is smaller than the sum of its proper divisors (279777657600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77283803520 is a wasteful number, since it uses less digits than its factorization.

77283803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77283803520 in words is "seventy-seven billion, two hundred eighty-three million, eight hundred three thousand, five hundred twenty".